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nignag [31]
3 years ago
6

A lab technician is mixing a solution and needs to convert 5 gallons to liters.

Mathematics
1 answer:
jarptica [38.1K]3 years ago
5 0
The answer to the problem is approximately 19 liters
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Please Help! Thanks!
svetlana [45]

Answer:

C, 20 units

Step-by-step explanation:

We see that both angles QRS and QTR are 90 degrees. In addition, angles SQR and RQT are equivalent (because they're both angle Q).

By AA Similarity, we know that triangle QTR is similar to triangle QRS.

With this similarity in mind, we can look at the ratios of corresponding lengths to set up a proportion. QR from triangle QTR is the hypotenuse, and it corresponds to hypotenuse QS from triangle QRS. So, we can write the ratio x/(9 + 16) = x/25.

Now, we see that long leg QT of triangle QTR corresponds to long leg QR of triangle QRS. So, another ratio we can write is: 16/x.

Finally, we set these two ratios equal to each other:

\frac{x}{25} =\frac{16}{x}

Cross-multiplying, we get: x^{2} =16*25=400.

Thus, x = \sqrt{400} =20. The answer is C, 20 units.

Hope this helps!

4 0
3 years ago
Read 2 more answers
Carl is wondering if the train he is riding home from school will leave early, on time, or late. The probabilities are as follow
Slav-nsk [51]

Answer:

Probability of each situation is 1/3 .

Step-by-step explanation:

There are 3 possibilities

1- Train will arrive early

2- Train will arrive on time

3- Train will arrive late

Formula for Probability  of event a is = n(a)/Sum of events

In this case sum of events = 3

So

Probability of early arrival = 1/3

Probability of on time arrival = 1/3

Probability of late arrival = 1/3

5 0
3 years ago
Read 2 more answers
Reason Lena is making a puzzle, she cuts a shape into5. two pieces and rearranges them to make the shape below.Which shape did s
BartSMP [9]
The answer to 5. is D: the square

4 0
3 years ago
Read 2 more answers
What are the all solutions to the following equation? |3x+2|=17
Rom4ik [11]

Answer:

I don't know. truncating your text book

4 0
3 years ago
If a train travels at the speed of 100 km how far will it travel in half an hour
choli [55]

Answer:

50 kilometers

Step-by-step explanation:

If it travels 100 in an hour, it would travel 50 in half

4 0
3 years ago
Read 2 more answers
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